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Simplifying 0.2(10000) + -0.05 = 0.05(y + 10000) Multiply 0.2 * 10000 2000 + -0.05 = 0.05(y + 10000) Combine like terms: 2000 + -0.05 = 1999.95 1999.95 = 0.05(y + 10000) Reorder the terms: 1999.95 = 0.05(10000 + y) 1999.95 = (10000 * 0.05 + y * 0.05) 1999.95 = (500 + 0.05y) Solving 1999.95 = 500 + 0.05y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.05y' to each side of the equation. 1999.95 + -0.05y = 500 + 0.05y + -0.05y Combine like terms: 0.05y + -0.05y = 0.00 1999.95 + -0.05y = 500 + 0.00 1999.95 + -0.05y = 500 Add '-1999.95' to each side of the equation. 1999.95 + -1999.95 + -0.05y = 500 + -1999.95 Combine like terms: 1999.95 + -1999.95 = 0.00 0.00 + -0.05y = 500 + -1999.95 -0.05y = 500 + -1999.95 Combine like terms: 500 + -1999.95 = -1499.95 -0.05y = -1499.95 Divide each side by '-0.05'. y = 29999 Simplifying y = 29999
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